Question

In the given figure, AC is the bisector of mezor angle DAB.If mezor angle DAB=80° and mezor angle =70° ,find mezor angle ADC​

Answer 1

Answer:

if I'm not wrong then angle ADC will be 105 hope it is correct nd will help you

Answer 2

∠ADC = 105°

Given:

∠DAB = 80°

∠DCB = 70°

AC is the bisector of ∠ADC and ∠DCB

We have to find ∠ADC

Now, since AC is the angle bisector of ∠ADC and ∠DCB

Hence, AC divide the ∠ADC and ∠DCB in equal parts

⇒∠DAC= ∠DAB/2 = 80°/2

⇒ ∠DAC= 40°

⇒ ∠DCA= ∠DACB/2 = 70°/2

⇒ ∠DCA= 35°

Now, accorsing to the traingle property,

∠DCA + ∠DAC + ∠ADC = 180°

40° + 35° + ∠ADC = 180°

∠ADC = 180° - 75°

∠ADC = 105°